Asymptotic behavior of large solution to elliptic equation of Bieberbach-Rademacher type with convection terms

作者：Huang Shuibo^*; Tian Qiaoyu; Mu Chunlai

来源：Applied Mathematics and Computation, 2009, 210(2): 284-293.

DOI：10.1016/j.amc.2008.12.067

• Singular elliptic equation
• Convection term
• Karamata regular variation theory

We analyze the asymptotic behavior of solutions to nonlinear elliptic equation Delta u +/- vertical bar del u vertical bar(q) = b(x)f(u) in Omega, subject to the singular boundary condition u(x) = infinity as dist(x, partial derivative Omega) -> 0, where Omega is a smooth bounded domain in R(N), f o L is an element of RV(rho)(rho > 0) for some L is an element of C(2) [A, proportional to), lim(u ->infinity) L(u) = infinity and L' is an element of NRV(-1). Our approach employs Karamata regular variation theory combined with the method of lower and supper solution.

• 出版日期2009-4-15
• 单位重庆大学